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Finding the Fourth Proportional to 7,243.17, 9,994.95 and 4,217.82

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Solution

The fourth proportional to 7,243.17, 9,994.95 and 4,217.82 is: 5,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.17 : 9,994.95 = 4,217.82 : x
  2. Step 2: Convert to fraction form
    7,243.17/9,994.95 = 4,217.82/x
  3. Step 3: Cross multiply
    7,243.17x = 9,994.95 × 4,217.82
  4. Step 4: Simplify right side
    7,243.17x = 42,156,900.01
  5. Step 5: Solve for x
    x = 42,156,900.01/7,243.17
  6. Step 6: Final answer
    x = 5,820.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.